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Finding the Third Proportional to 2,464,728 and 5,293,704

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Solution

The third proportional to 2,464,728 and 5,293,704 is: 11,369,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464,728 : 5,293,704 = 5,293,704 : x
  2. Step 2: Convert to fraction form
    2,464,728/5,293,704 = 5,293,704/x
  3. Step 3: Cross multiply
    2,464,728x = 5,293,704 × 5,293,704
  4. Step 4: Simplify right side
    2,464,728x = 28,023,302,039,616
  5. Step 5: Solve for x
    x = 28,023,302,039,616/2,464,728
  6. Step 6: Final answer
    x = 11,369,734.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.